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Finding the Fourth Proportional to 1,870.60, 2,806.50 and 775.08

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Solution

The fourth proportional to 1,870.60, 2,806.50 and 775.08 is: 1,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.60 : 2,806.50 = 775.08 : x
  2. Step 2: Convert to fraction form
    1,870.60/2,806.50 = 775.08/x
  3. Step 3: Cross multiply
    1,870.60x = 2,806.50 × 775.08
  4. Step 4: Simplify right side
    1,870.60x = 2,175,262.02
  5. Step 5: Solve for x
    x = 2,175,262.02/1,870.60
  6. Step 6: Final answer
    x = 1,162.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.